Strong double coverings of groups

Details Strong double coverings of groups Strong double coverings of groups

2006-10-18

arxiv.org/abs/math/0610556v1

Mathematics

Group Theory

17 pages, 4 tables, 6 diagrams

Scientific paper

By a covering of a group G we mean an epimorphism from a group F to G. Introducing the notion of strong covering as a covering pi:F-->G such that every automorphism of G is a projection via pi of an automorphism of F, the main aim of this paper is to characterise double coverings which are strong. This is done in details for metacyclic groups, rotary platonic groups and some finite simple groups.

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